【摘要】 利用等价系统的方法,通过构造适当的Lyapunov函数给出了对具有混和时滞动力系统的指数稳定性条件,该判据用线性矩阵不等式(LMI)的形式给出,并在稳定性证明的过程中,利用分解时滞项的系数矩阵的方法得到更低保守性的条件.通过求解一个线性矩阵不等式的可行性问题,求得与时滞相关的指数衰减率.最后给出的数值算例验证了结果的有效性.更多还原

【Abstract】 Based on the descriptor system approach and constructing proper Lyapunov functions,an exponential stability condition for dynamic system with mixed time-delays is given,which can be expressed in the form of linear matrix inequality(LMI).By decomposing the coefficient matrix of the delay vector,a less conservative criterion is derived.The exponential decay σ rate which is related to the time delay is obtained by solving a feasibility problem of LMI.Finally,numerical examples are given to show that result is effective.更多还原